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Finding the Fourth Proportional to 6,953.59, 10,430.42 and 1,759.47

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Solution

The fourth proportional to 6,953.59, 10,430.42 and 1,759.47 is: 2,639.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.59 : 10,430.42 = 1,759.47 : x
  2. Step 2: Convert to fraction form
    6,953.59/10,430.42 = 1,759.47/x
  3. Step 3: Cross multiply
    6,953.59x = 10,430.42 × 1,759.47
  4. Step 4: Simplify right side
    6,953.59x = 18,352,011.08
  5. Step 5: Solve for x
    x = 18,352,011.08/6,953.59
  6. Step 6: Final answer
    x = 2,639.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.